Chosen Solution
Last year, because of my work i had to install Windows 10 through Boot Camp. After that, because i was running low on HDD space, had to delete the OSX partition. Now, i brought a caddy, to install a second HDD. The question here is, How could i install back OSX into my new HDD?, is there something special i should do?,
First use Disk Utilities to format the new drive, GUID, Mac OS X Extended. Get to this by holding down the option key on start up, then select the Recovery partition. Next you can Do an internet restoration of the system. It should install the system the machine shipped with.